Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
DanielMcDonald`GroupTheoryPaclet`
InnerAutomorphismGroup  |
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Details and Options
Examples
(2)
Basic Examples
(1)
Find the inner automorphism group of the alternating group of degree 4:
In[21]:=
 | InnerAutomorphismGroup |
Out[21]=
PermutationGroup[{Cycles[{}],Cycles[{{4,12,9},{5,10,8},{6,11,7}}],Cycles[{{4,9,12},{5,8,10},{6,7,11}}],Cycles[{{2,11},{3,8},{5,10},{6,7}}],Cycles[{{2,6,11},{3,10,8},{4,9,12}}],Cycles[{{2,7,11},{3,5,8},{4,12,9}}],Cycles[{{2,11,6},{3,8,10},{4,12,9}}],Cycles[{{2,7,6},{3,5,10},{4,9,12}}],Cycles[{{2,6},{3,10},{5,8},{7,11}}],Cycles[{{2,11,7},{3,8,5},{4,9,12}}],Cycles[{{2,6,7},{3,10,5},{4,12,9}}],Cycles[{{2,7},{3,5},{6,11},{8,10}}]}]
Properties & Relations
(1)
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